Compare 36/96 and 24/36
36/96 is smaller than 24/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 96 and 36 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 96 × 3 = 288,
36/96 = 36 × 3/96 × 3 = 108/288 - Likewise, for the 2nd fraction, since 36 × 8 = 288,
24/36 = 24 × 8/36 × 8 = 192/288 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 108/288 < 192/288 or 36/96 < 24/36
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